Four approaches to hydrodynamic Green’s functions - the Oseen tensors
نویسنده
چکیده
A very ’physical’ approach to this phenomenon can be made by making use of the linearity of Stokes equations and symmetries of the system. Here, we preform detailed calculations according to hints from Exercise 2.9 from the textbook [Kim & Karilla]. As the Stokes equations are linear in p and v, the pressure field p(r) can be written as a scalar product of a certain vector field P(r) and the point force F and the velocity field v(r) can be represented by a a tensor G(r) acting on a point force F with certain factors:
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